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Finding the Third Proportional to 92,380.50 and 199,006.50

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Solution

The third proportional to 92,380.50 and 199,006.50 is: 428,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,380.50 : 199,006.50 = 199,006.50 : x
  2. Step 2: Convert to fraction form
    92,380.50/199,006.50 = 199,006.50/x
  3. Step 3: Cross multiply
    92,380.50x = 199,006.50 × 199,006.50
  4. Step 4: Simplify right side
    92,380.50x = 39,603,587,042.25
  5. Step 5: Solve for x
    x = 39,603,587,042.25/92,380.50
  6. Step 6: Final answer
    x = 428,700.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.